Pet carrying case



FIG. 1 is a front, top and right side isometric view of a pet carrying case embodying my new design;

FIG. 2 is a front elevational view thereof;

FIG. 3 is a left side elevational view thereof;

FIG. 4 is a top plan view thereof;

FIG. 5 is a rear elevational view thereof; and

FIG. 6 is a bottom plan view thereof. 

The ornamental design for a pet carrying case, as shown and described. 